Chosen Solution

Firefox should reveal the full paths if you go through the following procedure.

(1) Re-enable the disabled plugins

(2) Turn on the plugin.expose_full_path setting here:

(i) In a new tab, type or paste about:config in the address bar and press Enter. Click the button promising to be careful.

(ii) In the filter box, type or paste path and pause while the list is filtered

(iii) Double-click plugin.expose_full_path to switch its value to true

(3) In a new tab, open about:plugins. This page should list all of your Shockwave for Director plugins with full paths. Are they there?

(4) After gathering that information, return to about:config and toggle plugin.expose_full_path back to its default value of false. You can close this tab.

(5) Finally, return to the Add-ons > Plugins page and disable the old plugins again.

If that doesn't work, there's probably a settings file that has the information.

Yes, you should remove the old ones if you can.
Firefox should reveal the full paths if you go through the following procedure.
(1) Re-enable the disabled plugins
(2) Turn on the '''plugin.expose_full_path''' setting here:
(i) In a new tab, type or paste '''about:config''' in the address bar and press Enter. Click the button promising to be careful.
(ii) In the filter box, type or paste '''path''' and pause while the list is filtered
(iii) Double-click '''plugin.expose_full_path''' to switch its value to true
(3) In a new tab, open about:plugins. This page should list all of your Shockwave for Director plugins with full paths. Are they there?
(4) After gathering that information, return to about:config and toggle plugin.expose_full_path back to its default value of false. You can close this tab.
(5) Finally, return to the Add-ons > Plugins page and disable the old plugins again.
If that doesn't work, there's probably a settings file that has the information.